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Finding the Fourth Proportional to 13,188.53, 19,776.41 and 4,872.47

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Solution

The fourth proportional to 13,188.53, 19,776.41 and 4,872.47 is: 7,306.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.53 : 19,776.41 = 4,872.47 : x
  2. Step 2: Convert to fraction form
    13,188.53/19,776.41 = 4,872.47/x
  3. Step 3: Cross multiply
    13,188.53x = 19,776.41 × 4,872.47
  4. Step 4: Simplify right side
    13,188.53x = 96,359,865.55
  5. Step 5: Solve for x
    x = 96,359,865.55/13,188.53
  6. Step 6: Final answer
    x = 7,306.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.